TY - JOUR

T1 - Noise and particle condensation

AU - Umezawa, H.

AU - Yamanaka, Y.

N1 - Funding Information:
We wouldl ike to thankD r. T.S. Evansf or criticalr eadingo f them anuscript. This work was supportedb y NSERC, Canadaa nd the Dean of Sciencet, he Universityo f Alberta.

PY - 1991/1/1

Y1 - 1991/1/1

N2 - This paper is aimed to clarify the appearance of non-quantum noises in quantum systems in various subjects from a unified viewpoint. Examples taken are the squeezed state in quantum optics, the Hawking radiation around the black hole and thermo field dynamics (TFD) in thermal quantum field theory. Under the use of mathematical formulation of TFD, the origin of noises is traced to the Bogoliubov transformation, i.e., the pair condensation of bare particles in the physical vacua. Detailed analysis of the noise energy reveals a crucial distinction among them: Calling the operator generating the noise energy the noise generator, we find two cases, dynamical and spontaneous, depending on whether the noise generator is part of the Hamiltonian or not. The squeezed state belongs to the former, TFD does to the latter.

AB - This paper is aimed to clarify the appearance of non-quantum noises in quantum systems in various subjects from a unified viewpoint. Examples taken are the squeezed state in quantum optics, the Hawking radiation around the black hole and thermo field dynamics (TFD) in thermal quantum field theory. Under the use of mathematical formulation of TFD, the origin of noises is traced to the Bogoliubov transformation, i.e., the pair condensation of bare particles in the physical vacua. Detailed analysis of the noise energy reveals a crucial distinction among them: Calling the operator generating the noise energy the noise generator, we find two cases, dynamical and spontaneous, depending on whether the noise generator is part of the Hamiltonian or not. The squeezed state belongs to the former, TFD does to the latter.

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U2 - 10.1016/0378-4371(91)90047-G

DO - 10.1016/0378-4371(91)90047-G

M3 - Article

AN - SCOPUS:0011282250

SN - 0378-4371

VL - 170

SP - 291

EP - 305

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 2

ER -